ax+b/cx+d=2

solve for x

To solve for x in the equation ax + b/cx + d = 2, we need to isolate the term that contains x on one side of the equation. Here's how you can solve it step by step:

1. Multiply through by the denominator (cx + d) to eliminate the fraction:
(ax + b/cx + d) * (cx + d) = 2 * (cx + d)

This gives us:
a(cx + d) + b = 2(cx + d)

2. Distribute the terms:
acx + ad + b = 2cx + 2d

3. Rearrange the equation by moving the terms involving x to one side and the constant terms to the other side:
acx - 2cx = 2d - b - ad

Simplify:
(ac - 2c)x = 2d - b - ad

4. Combine like terms:
(ac - 2c)x = 2(d - b - ad)

5. Divide both sides of the equation by (ac - 2c) to solve for x:
x = [2(d - b - ad)] / (ac - 2c)

Therefore, the solution for x in the equation ax + b/cx + d = 2 is x = [2(d - b - ad)] / (ac - 2c).